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Finding the Fourth Proportional to 65,064.83, 97,611.62 and 27,656.87

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Solution

The fourth proportional to 65,064.83, 97,611.62 and 27,656.87 is: 41,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,064.83 : 97,611.62 = 27,656.87 : x
  2. Step 2: Convert to fraction form
    65,064.83/97,611.62 = 27,656.87/x
  3. Step 3: Cross multiply
    65,064.83x = 97,611.62 × 27,656.87
  4. Step 4: Simplify right side
    65,064.83x = 2,699,631,990.57
  5. Step 5: Solve for x
    x = 2,699,631,990.57/65,064.83
  6. Step 6: Final answer
    x = 41,491.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.